Question

Factorise x the power2+5x-24

Answer 1

x²+5x-24

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x-3)(x+8)=0

x-3=0 or x+8=0

x=3 or x=(-8)

Hope it helps you !

Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

$\huge\bold{ {x}^{2} + 5x - 24 = 0}$

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$= > {x}^{2} + 5x - 24 = 0$

=>It is in the form of a quadratic equation $\bold{\red{ {ax}^{2} + bx +c = 0}}$

=>Here ,we splitting the middle term

Step 1: multiply the coefficient of x^2 with constant term. suppose we obtain value 'z'

step 2:Think of a number whose addition and subtraction makes the value 'z' and it's product also makes the value 'z'

Step3 : last step is to factorise and take common.

$= > {x}^{2} + 8x - 3x - 24 = 0$

$= > x( x + 8) - 3(x + 8) = 0$

$= > (x - 3)(x + 8) = 0$

$= > x - 3 = 0$

$\bold{\boxed{= > x = 3}}$

$= > x + 8 = 0$

$\bold{\boxed{= > x = - 8}}$

Hence ,the roots are $\bold{\red{(3,-8)}}$

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